Levi goes everywhere with me, and we travel/visit friends and relatives a lot. He has stayed overnight at my undergrad apartment, my parents' house, my brother's apartment, my summer house, my boyfriend's apartment, my boyfriend's parents' house, my aunt's house...so he is pretty used to moving around!
I think you are doing the most important thing: keeping Khloe's schedule consistent. The two major problems I've had are accidents in others' houses, and picky eating. If I mix a bit of wet food into his regular kibble, he will eat no matter where we are. For the potty - I take him out much more frequently than I would at our regular home, I watch him like a hawk, and I use belly bands occasionally. I don't know about nighttime whining, as Levi sleeps with me and is content as long as I am with him. I think that keeping the atmosphere around Khloe's crate as close to her home environment as possible is a great idea.
It will probably just take Khloe time to get used to traveling frequently. Levi doesn't have a skittish personality at all - he is very curious and outgoing - but he occasionally does feel out of his element, so I try to pay him special attention if we are in a new place. He LOVES going to places he is now familiar with...so I'm sure once Khloe gets used to traveling, she will enjoy it! I know Levi whines like crazy once we turn onto my aunt's driveway, he can't wait to get out of the car to visit and play!
